Prepare the Mixture: In a large mixing bowl, combine the mashed potatoes, shredded cheddar cheese, crumbled bacon, and chopped green onions. Mix in the beaten egg to help bind the ingredients.

Form the Potato Cakes: Add the flour to the potato mixture and stir until well combined. The mixture should be thick enough to form patties. Take a handful of the mixture and shape it into small cakes or patties about the size of your palm, pressing gently to ensure they hold together.

Heat the Oil: In a large skillet, heat about ¼ inch of vegetable oil over medium heat. You want the oil to be hot but not smoking, which ensures the cakes cook evenly and develop a crispy crust.

Fry the Potato Cakes: Once the oil is hot, carefully place the potato cakes in the skillet, frying a few at a time without overcrowding. Cook each cake for about 3-4 minutes on each side, or until they are golden brown and crispy.

Drain and Serve: Once the cakes are golden and crispy, remove them from the skillet and place them on a plate lined with paper towels to drain any excess oil. Serve hot with your favorite dipping sauce, sour cream, or enjoy them as they are!